381024864 has 192 divisors, whose sum is σ = 1239598080. Its totient is φ = 112872960.

The previous prime is 381024829. The next prime is 381024883. The reversal of 381024864 is 468420183.

It is a super-3 number, since 3×381024864³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446262 + ... + 447114.

It is an arithmetic number, because the mean of its divisors is an integer number (6456240).

Almost surely, 2^381024864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381024864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619799040).

381024864 is an abundant number, since it is smaller than the sum of its proper divisors (858573216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381024864 is a wasteful number, since it uses less digits than its factorization.

381024864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 381024864 is about 19519.8581962062. The cubic root of 381024864 is about 724.9662221282.

It can be divided in two parts, 381024 and 864, that multiplied together give a square (329204736 = 18144²).

The spelling of 381024864 in words is "three hundred eighty-one million, twenty-four thousand, eight hundred sixty-four".